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Finding the Fourth Proportional to 5,422.86, 7,480.96 and 3,154.19

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Solution

The fourth proportional to 5,422.86, 7,480.96 and 3,154.19 is: 4,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.86 : 7,480.96 = 3,154.19 : x
  2. Step 2: Convert to fraction form
    5,422.86/7,480.96 = 3,154.19/x
  3. Step 3: Cross multiply
    5,422.86x = 7,480.96 × 3,154.19
  4. Step 4: Simplify right side
    5,422.86x = 23,596,369.22
  5. Step 5: Solve for x
    x = 23,596,369.22/5,422.86
  6. Step 6: Final answer
    x = 4,351.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.